Mathematical Operations problems
- 1. In the following question, * stands for any of the mathematical signs at different places, which are given as choices under each question. Select the choice with the correct sequence of signs which when substituted makes the question as a correct equation.
24 * 4 * 5 * 4
Options- A. x + =
- B. = x +
- C. + x =
- D. = + x Discuss
Correct Answer: = x +
Explanation:
From option (b),
24 = 4 x 5 + 4
? 24 = 20 + 4 ? 24 = 24
- 2. Select the correct combination of mathematical signs to replace * signs and to balance the given equation.
16 * 6 * 4 * 24
Options- A. ÷ = x
- B. x = ÷
- C. = ÷ ÷
- D. x ÷ = Discuss
Correct Answer: x ÷ =
Explanation:
Apply all option one by one
? 16 x 6 ÷ 4 = 24
? 96/4 = 24 ? 24 = 24
- 3. Select the correct combination of mathematical signs to replace * signs and to balance the given equation.
9 * 3 * 3 * 3 * 6
Options- A. ÷ x - =
- B. + - x =
- C. - + + =
- D. x + - = Discuss
Correct Answer: ÷ x - =
Explanation:
? 9 ÷ 3 x 3 - 3 = 6 ? 3 x 3 - 3 = 6
? 9 - 3 = 6 ? 6 = 6
- 4. Select the correct combination of mathematical signs to replace * signs and to balance the given equation.
8 * 6 * 96 * 2 = 0
Options- A. x ÷ -
- B. x - ÷
- C. - x ÷
- D. ÷ - x Discuss
Correct Answer: x - ÷
Explanation:
? 8 * 6 * 96 * 2 = 0
? 8 x 6 - 96 ÷ 2 = 0
? 48 - 48 = 0
- 5. Which of the following interchange of number would make the given equation correct?
8 x 20 ÷ 3 + 9 - 5 = 38
Options- A. 3, 9
- B. 3, 8
- C. 8, 9
- D. 3, 5 Discuss
Correct Answer: 3, 5
Explanation:
? 8 x 20 ÷ 3 + 9 - 5 = 38 ? 8 x 20 ÷ 5 + 9 - 3 = 38
? 8 x 4 = 9 - 3 = 38 ? 32 + 9 - 3 = 38
- 6. Which of the following interchange of sing or numbers would make the given equation correct?
(18 ÷ 9) + 3 x 5 = 45
Options- A. x ÷
- B. + ÷
- C. 18 and 5
- D. 3 and 9 Discuss
Correct Answer: + ÷
Explanation:
? (18 ÷ 9) + 3 x 5 = 45
? (18 + 9) ÷ 3 x 5 = 45 ? 27 ÷ 3 x 5 = 45
- 7. Which of the following interchange of sing or numbers would make the given equation correct?
5 + 6 ÷ 3 - 12 x 2 = 17
Options- A. ÷ and x
- B. + and x
- C. + and ÷
- D. + and - Discuss
Correct Answer: ÷ and x
Explanation:
Apply all option one by one.
? 5 + 6 x 3 - 12 ÷ 2 = 17
? 5 + 18 - 6 = 17 ? 23 - 6 = 17
- 8. 15 8 21
p 3 27
If 'p' is the resultant of the first row, what will be the resultant of the second row?
Options- A. 58
- B. 76
- C. 27
- D. 82 Discuss
Correct Answer: 58
Explanation:
Rules
(i) (odd number) + (Composite odd number)
(ii) (Even number) + (Odd number)
(iii) (Even number) ? (Perfect square number), then (Perfect square number) - (Even number)
(iv) (Odd number) ÷ (Prime odd number)
(v) (Odd number) - (Even number)
1st Row 15 8 21 ? 15 - 8 = 7 [rule (v)]
? 7 + 21 = 28 [rule (i)]
2nd Row p 3 27 ? 28 3 27
? 28 + 3 = 31 [rule (ii)]
? 31 + 27 = 58 [rule (i)]
? Resultant of second row = 58
- 9. 12 64 17
20 m 16
If 'm' is the resultant of the first row, what will be the resultant of the second row?
Options- A. 69
- B. 85
- C. 101
- D. 121 Discuss
Correct Answer:
Explanation:
Rules
(i) (odd number) + (Composite odd number)
(ii) (Even number) + (Odd number)
(iii) (Even number) ? (Perfect square number), then (Perfect square number) - (Even number)
(iv) (Odd number) ÷ (Prime odd number)
(v) (Odd number) - (Even number)
1st Row 12 64 17 ? 64 - 12 = 52 [rule (iii)]
? 52 + 17 = 69 [rule (ii)]
= m
2nd Row 20 m 16 ? 20 69 16
? 20 + 69 = 89 [rule (ii)]
? 89 - 16 = 73 [rule (v)]
? Resultant of second row = 73
- 10. 85 17 35
16 19 r
If 'r' is the resultant of the first row, what will be the resultant of the second row?
Options- A. 175
- B. -5
- C. 75
- D. 210 Discuss
Correct Answer: -5
Explanation:
Rules
(i) (odd number) + (Composite odd number)
(ii) (Even number) + (Odd number)
(iii) (Even number) ? (Perfect square number), then (Perfect square number) - (Even number)
(iv) (Odd number) ÷ (Prime odd number)
(v) (Odd number) - (Even number)
Solution
1st Row 85 17 35 ? 85 ÷ 17 = 5 [rule (iv)]
? 5 + 35 = 40 [rule (i)]
= r
2nd Row 16 19 r ? 16 19 40
? 16 + 19 = 35 [rule (ii)]
? 35 - 40 = -5 [rule (v)]
? Resultant of second row = -5
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